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Finding the Third Proportional to 151,854 and 329,921.25

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Solution

The third proportional to 151,854 and 329,921.25 is: 716,793.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,854 : 329,921.25 = 329,921.25 : x
  2. Step 2: Convert to fraction form
    151,854/329,921.25 = 329,921.25/x
  3. Step 3: Cross multiply
    151,854x = 329,921.25 × 329,921.25
  4. Step 4: Simplify right side
    151,854x = 108,848,031,201.56
  5. Step 5: Solve for x
    x = 108,848,031,201.56/151,854
  6. Step 6: Final answer
    x = 716,793.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.